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Study reveals that children who had never been taught addition or subtraction were able to solve approximate math problems involving large numbers.
Ironically, during the first encounter with math (in elementary school) perfecting the ability to add and subtract, multiply and divide, children find symbolic arithmetic quite difficult and tedious. Learning math is only a long […]

Mathematics is a study of paradigm that centers on ideas like change, space, structure, measurement and counting. Over the years, the basic ideas originating from Mesopotamia, India, ancient Greece, Egypt and China were cultivated and at present play a vital role in science and technology. Suffice it to say that Mathematics is the vocabulary of […]

We give a new procedure in Maple for finding the k-th power of a martix. The
algorithm is based on the article [1].

In this paper we give a generalization of Chebyshev polynomials and using
this we describe the M\”obius function of the generalized subword order from a
poset {a1,…as,c |ai<c}, which contains an affirmative answer for the
conjecture by Bj\”orner, Sagan, Vatter.[5,10]

We give a new procedure in Maple for finding the k-th power of a matix. The
algorithm is based on the article [1].

We consider the one-person game of peg solitaire on a triangular board of
arbitrary size. The basic game begins from a full board with one peg missing
and finishes with one peg at a specified board location. We develop necessary
and sufficient conditions for this game to be solvable. For all solvable
problems, we give an explicit solution algorithm. On the 15-hole board, we
compare three simple solution strategies. We then consider the problem of
finding solutions that minimize the number of moves (where a move is one or
more jumps by the same peg), and find the shortest solution to the basic game
on all triangular boards with up to 55 holes (10 holes on a side).

A celebrated result of F. Jaeger states that the Tutte polynomial of a planar
graph is determined by the HOMFLY polynomial of an associated link. Here we are
interested in the converse of this result. We consider the question `to what
extent does the Tutte polynomial determine the HOMFLY polynomial of any knot?’
We show that the HOMFLY polynomial of a knot is determined by Tutte polynomials
of plane graphs associated to the knot.

In this paper we give a generalization of Chebyshev polynomials and using
this we describe the Mobius function of the generalized subword order from a
poset {a1,…as,c |ai<c}, which contains an affirmative answer for the
conjecture by Bjorner, Sagan, Vatter.[5,10]